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Finding the Fourth Proportional to 10,917.84, 16,378.92 and 3,992.88

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Solution

The fourth proportional to 10,917.84, 16,378.92 and 3,992.88 is: 5,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.84 : 16,378.92 = 3,992.88 : x
  2. Step 2: Convert to fraction form
    10,917.84/16,378.92 = 3,992.88/x
  3. Step 3: Cross multiply
    10,917.84x = 16,378.92 × 3,992.88
  4. Step 4: Simplify right side
    10,917.84x = 65,399,062.09
  5. Step 5: Solve for x
    x = 65,399,062.09/10,917.84
  6. Step 6: Final answer
    x = 5,990.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.